What is 3x^2-2y^2+4y-26=0 ?

The solution to 3x^2-2y^2+4y-26=0 is Hyperbola with (h,k)=(0,1),a=2sqrt(2),b=2sqrt(3)

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3x^2-2y^2+4y-26=0

3 x^{2} - 2 y^{2} + 4 y - 26 = 0

(h, k) = (0, 1), a = 22, b = 23

Solution steps

3 x^{2} - 2 y^{2} + 4 y - 26 = 0

Rewrite

3 x^{2} - 2 y^{2} + 4 y - 26 = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 2 2 ) ^{2}} - \frac{( y - 1 ) ^{2}}{( 2 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 1), a = 22, b = 23

24 a - a^{2} + b^{2} - 1 = 0

x, 4 x^{2} - 2 m (x)^{2} - 25 x + 50 m (x) = 0

\frac{x ^{2}}{1} - \frac{y ^{2}}{16} = 16

(u + v) (u - v) = v

\frac{x ^{2}}{15} - \frac{y ^{2}}{5} = 1

What is 3x^2-2y^2+4y-26=0 ?
The solution to 3x^2-2y^2+4y-26=0 is Hyperbola with (h,k)=(0,1),a=2sqrt(2),b=2sqrt(3)